The number 11696
11696 is a composite number with 20 divisors. Its prime factorisation is × 17 × 43. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 43, 68, 86, 136, 172, 272, 344, 688, 731 … 11696.
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How to work it out
- 1
11696 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11696 is composite. Its prime factorisation is
- 3
The divisors add up to 24552; without 11696 itself that is 12856, so 11696 is abundant (12856 is more than 11696). Euler's totient φ(11696) = 5376 numbers up to 11696 share no factor with it.
- 4
The digits of 11696 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11696 = 2^{4} \times 17 \times 43 \]11696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 24552 |
| Euler totient φ(n) | 5376 |
| Square | 136796416 |
| Cube | 1599970881536 |
| Square root | 108.148047 (= 4√731) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 143 |
| Scientific notation | 1.1696 × |
11696 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand six hundred and ninety-six |
| Binary (base 2) | 10110110110000 |
| Octal (base 8) | 26660 |
| Hexadecimal (base 16) | 2DB0 |
| Base 3 | 121001012 |
| As time | 11696 seconds = 3 h 14 min 56 s |
Is 11696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11696 ÷ 2 = 5848) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11696 ÷ 4 = 2924) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (11696 ÷ 8 = 1462) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11696 a prime number?
No. 11696 = × 17 × 43, so it is divisible by 2.
What are the factors of 11696?
1, 2, 4, 8, 16, 17, 34, 43, 68, 86, 136, 172, 272, 344, 688, 731, 1462, 2924, 5848, 11696.
What is 11696 in binary?
10110110110000 (hexadecimal 2DB0, octal 26660).
What is the square root of 11696?
About 108.1480, exactly 4√731.
Is 11696 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 11696?
It is a composite number with 20 divisors.